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LCM of 841, 449, 961, 341

Created By : Jatin Gogia
Reviewed By : Rajashekhar Valipishetty
Last Updated at : Mar 29,2023


Find the LCM of 841, 449, 961, 341 with the LCM of Two or More Numbers Calculator. Here we are teaching you two different methods through which you can calculate the LCM of 841, 449, 961, 341. So, keep reading to learn more.

 

LCM of:

Calculate the LCM of 841,449,961,341

Given numbers are 841,449,961,341

The least common multiple of numbers can be find using the prime factorization method or LCM formula.

The LCM of 841,449,961,341 is 3991704739.

Find LCM of 841,449,961,341 with Prime Factorization


31 841, 449, 961, 341
841, 449, 31, 11

Multiply the prime numbers at the bottom and the left side.

31 x 841 x 449 x 31 x 11 = 3991704739

Therefore, the lowest common multiple of 841,449,961,341 is 3991704739.

LCM Formula to Find Lowest Common Multiple of 841,449,961,341

LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

Firstly, we have to find the product of all the numbers.

841 x 449 x 961 x 341 = 123742846909

Then, let us find the GCF of these five numbers. To do so, we have to list down the factors for each number and choose the highest factor that is in all of the lists.

841 : 1, 29, 841

449 : 1, 449

961 : 1, 31, 961

341 : 1, 11, 31, 341

1 is the greatest number that appears in all the lists. Therefore, we can determine that the GCF of 841,449,961,341, is 1.

Now, the common factors can be found like this.

841:29x 29

449:449

961:31x 31

341:11x 31

From this, we can see that the common factors because they appear for more than two numbers. So, just multiply them all together.

31 = 31

Therefore, the value for common factors is 31.

Now that we have all the elements of the formula, we can plug them in to calculate the LCM.

LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}

LCM = 123742846909/(1x31)

LCM = 123742846909/31

LCM = 3991704739

Thus, we can understand that the LCM of 841,449,961,341 is 3991704739.

LCM of two or more Numbers Calculation Examples

FAQs on LCM of 841, 449, 961, 341

1. What is the LCM of 841, 449, 961, 341?

Answer: LCM of 841, 449, 961, 341 is 3991704739.

2. How to calculate the LCM of 841, 449, 961, 341?

The LCM can be found using two methods. You can either use the LCM formula or the prime factorization method to calculate the LCM of 841, 449, 961, 341.

3. What is the LCM formula?

The LCM formula is LCM(a1, a2, an) = (a1 x a2 x an)/{GCF(a1 x a2 x an) x common factors}.